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Finding the Fourth Proportional to 27,804.83, 41,687.42 and 13,005.68

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Solution

The fourth proportional to 27,804.83, 41,687.42 and 13,005.68 is: 19,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.83 : 41,687.42 = 13,005.68 : x
  2. Step 2: Convert to fraction form
    27,804.83/41,687.42 = 13,005.68/x
  3. Step 3: Cross multiply
    27,804.83x = 41,687.42 × 13,005.68
  4. Step 4: Simplify right side
    27,804.83x = 542,173,068.62
  5. Step 5: Solve for x
    x = 542,173,068.62/27,804.83
  6. Step 6: Final answer
    x = 19,499.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.